Bishop-Phelps-Bollob\'as property for positive operators between classical Banach spaces

Autor: Acosta, María D., Soleimani-Mourchehkhorti, Maryam

Publikováno v: The Mathematical Legacy of Victor Lomonosov: Operator Theory, R. M. Aron, E. A. Gallardo, M. Mart\'in, Dmitry Ryabogin, I. M. Spitkovsky and Artem Zvavitch (Eds.), De Gruyter, 2020, pp. 1-14

We prove that the class of positive operators from $L_\infty (\mu)$ to $L_1 (\nu)$ has the Bishop-Phelps-Bollob\'as property for any positive measures $\mu$ and $\nu$. The same result also holds for the pair $(c_0, \ell_1)$. We also provide an exampl

Externí odkaz: http://arxiv.org/abs/1905.12972

Characterization of Banach spaces $Y$ satisfying that the pair $ (\ell_\infty^4,Y )$ has the Bishop-Phelps-Bollob\'as property for operators

Autor: Acosta, María D., Dávila, José L., Soleimani-Mourchehkhorti, Maryam

Publikováno v: J. Math. Anal. Appl. 470 (2019), 690-715

We study the Bishop-Phelps-Bollob\'as property for operators from $\ell_\infty ^4 $ to a Banach space. For this reason we introduce an appropiate geometric property, namely the AHSp-$\ell_\infty ^4$. We prove that spaces $Y$satisfying AHSp-$\ell_\inf

Externí odkaz: http://arxiv.org/abs/1803.04727

The Bishop-Phelps-Bollob\'{a}s property for operators on $C(K)$

Autor: Acosta, Maria D.

Publikováno v: Banach J. Math. Anal. 10, no. 2 (2016), 307-319

We provide a version for operators of the Bishop-Phelps-Bollob\'{a}s Theorem when the domain space is the complex space $C_0(L)$. In fact we prove that the pair $(C_0(L), Y)$ satisfies the Bishop-Phelps-Bollob\'{a}s property for operators for every H

Externí odkaz: http://arxiv.org/abs/1405.6428

The Bishop–Phelps–Bollobás and approximate hyperplane series properties

Autor: Acosta, María D., Mastyło, Mieczysław, Soleimani-Mourchehkhorti, Maryam

Publikováno v: In Journal of Functional Analysis 1 May 2018 274(9):2673-2699

The Bishop–Phelps–Bollobás property for operators from c0 into some Banach spaces

Autor: Acosta, María D., García, Domingo, Kim, Sun Kwang, Maestre, Manuel

Publikováno v: In Journal of Mathematical Analysis and Applications 15 January 2017 445(2):1188-1199